Rigidity in vacuum under conformal symmetry

DOI10.1007/s11005-018-1079-7zbMath1400.53060arXiv1712.00785OpenAlexW2775554979MaRDI QIDQ1785833

G. Richomme

Publication date: 1 October 2018

Published in: Letters in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1712.00785

zbMATH Keywords

vacuum equationsconformal symmetryBartnik splitting conjectureLorentzian rigidity

Mathematics Subject Classification ID

Space-time singularities, cosmic censorship, etc. (83C75) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50)

Related Items (3)

Omniscient foliations and the geometry of cosmological spacetimes ⋮ Rigidity and concircular symmetries ⋮ Some remarks on conformal symmetries and Bartnik's splitting conjecture

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Achronal limits, Lorentzian spheres, and splitting
• A proof of the splitting conjecture of S.-T. Yau
• Splitting theorems for spatially closed space-times
• Homothetic and conformal symmetries of solutions to Einstein's equations
• The splitting theorem for space-times with strong energy condition
• Remarks on cosmological spacetimes and constant mean curvature surfaces
• The Lorentzian splitting theorem without the completeness assumption
• On maximal geodesic-diameter and causality in Lorentz manifolds
• Lines in space-times
• Hausdorff closed limits and rigidity in Lorentzian geometry
• Timelike lines
• Seminar on Differential Geometry. (AM-102)
• Ricci fall-off in static and stationary, globally hyperbolic, non-singular spacetimes
• The Large Scale Structure of Space-Time

This page was built for publication: Rigidity in vacuum under conformal symmetry